{"id":"W3129082416","doi":"10.70930/tac/t97b3r1w","title":"Cohesive toposes of sheaves on monoids of continuous endofunctions of the unit interval","year":2020,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"advanced mathematical theories","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Topos theory; Unit interval; Mathematics; Unit (ring theory); Interval (graph theory); Pure mathematics; Discrete mathematics; Combinatorics; Art; Literature; Mathematics education","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002449983,0.0001067364,0.0003874064,0.00003233245,0.00005460174,0.000002908455,0.0002343457,0.00004204057,0.00004109279],"category_scores_gemma":[0.0008894437,0.00007317382,0.00008503482,0.0002207784,0.001069893,0.00005206075,0.00009578196,0.00008353614,9.257828e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000003326334,"about_ca_system_score_gemma":0.00002615069,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002487535,"about_ca_topic_score_gemma":7.137325e-7,"domain_scores_codex":[0.9991446,0.0001018507,0.0004444118,0.0001081957,0.0001257505,0.00007519333],"domain_scores_gemma":[0.9968585,0.002173177,0.0003900444,0.0003566117,0.0001904476,0.00003124333],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001643675,0.0001303968,0.00008098231,0.000465875,0.00005655201,3.361692e-8,0.002753934,0.00001264021,0.008647537,0.9865421,0.00002072984,0.001124838],"study_design_scores_gemma":[0.0001221468,0.000114867,0.00005479785,0.00004057603,0.00006806673,7.170264e-7,0.005082964,0.000004555943,0.3049618,0.689343,0.0001647259,0.00004184775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.779703,0.0003784141,0.202895,0.0005505019,0.00003888327,0.001160136,0.000225326,0.00005624025,0.01499244],"genre_scores_gemma":[0.9973056,0.00002316676,0.002346778,0.00002277113,0.0000201262,0.00005647447,0.000001895851,0.00001162858,0.0002115328],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2971992,"threshold_uncertainty_score":0.3942066,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03151323416800027,"score_gpt":0.2974630524411532,"score_spread":0.2659498182731529,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}